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1 ## Copyright (C) 1996, 1997 John W. Eaton |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 2, or (at your option) |
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8 ## any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, write to the Free |
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17 ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA |
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18 ## 02111-1307, USA. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} kron (@var{a}, @var{b}) |
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22 ## Form the kronecker product of two matrices, defined block by block as |
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23 ## |
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24 ## @example |
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25 ## x = [a(i, j) b] |
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26 ## @end example |
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27 ## |
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28 ## For example, |
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29 ## |
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30 ## @example |
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31 ## @group |
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32 ## kron (1:4, ones (3, 1)) |
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33 ## @result{} 1 2 3 4 |
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34 ## 1 2 3 4 |
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35 ## 1 2 3 4 |
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36 ## @end group |
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37 ## @end example |
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38 ## @end deftypefn |
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39 |
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40 ## Author: A. S. Hodel <scotte@eng.auburn.edu> |
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41 ## Created: August 1993 |
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42 ## Adapted-By: jwe |
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43 |
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44 function x = kron (a, b) |
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45 |
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46 if (nargin == 2) |
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47 |
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48 [m, n] = size (b); |
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49 [ma, na] = size (a); |
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50 |
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51 x = zeros (ma*m, na*n); |
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52 i_vec = 1:m; |
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53 j_vec = 1:n; |
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54 |
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55 for jj = 1:na |
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56 for ii = 1:ma |
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57 x(i_vec+(ii-1)*m,j_vec) = a(ii,jj) * b; |
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58 endfor |
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59 j_vec = j_vec + n; |
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60 endfor |
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61 |
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62 else |
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63 usage ("kron (a, b)"); |
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64 endif |
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65 |
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66 endfunction |
